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Finding the Third Proportional to 326,016,840 and 487,732,741.50

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Solution

The third proportional to 326,016,840 and 487,732,741.50 is: 729,665,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,016,840 : 487,732,741.50 = 487,732,741.50 : x
  2. Step 2: Convert to fraction form
    326,016,840/487,732,741.50 = 487,732,741.50/x
  3. Step 3: Cross multiply
    326,016,840x = 487,732,741.50 × 487,732,741.50
  4. Step 4: Simplify right side
    326,016,840x = 237,883,227,131,105,824
  5. Step 5: Solve for x
    x = 237,883,227,131,105,824/326,016,840
  6. Step 6: Final answer
    x = 729,665,458.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.